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Q.

A steel rod of length 5m is fixed rigidly between two supports. Coefficient of linear expression αsteel=12×10−6/0C,    y=2×1011Nm−2  with young’s modulus of steel the increase in its temperature by 400C , stress developed in the rod is

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a

9.6×105  Nm−2

b

9.6×106  Nm−2

c

9.6×107Nm−2

d

Zero

answer is C.

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Detailed Solution

Stress=yαΔt=2×1011×12×10−6×40=9.6×107N/m2
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A steel rod of length 5m is fixed rigidly between two supports. Coefficient of linear expression αsteel=12×10−6/0C,    y=2×1011Nm−2  with young’s modulus of steel the increase in its temperature by 400C , stress developed in the rod is